Solve 75%x-5=2.5

$$75 \% x - 5 = 2.5$$

Solve for x

$$x=10$$

Steps for Solving Linear Equation

Reduce the fraction \frac{75}{100} to lowest terms by extracting and canceling out 25.

$$\frac{3}{4}x-5=2.5$$

Add 5 to both sides.

$$\frac{3}{4}x=2.5+5$$

Add 2.5 and 5 to get 7.5.

$$\frac{3}{4}x=7.5$$

Multiply both sides by \frac{4}{3}, the reciprocal of \frac{3}{4}.

$$x=7.5\times \frac{4}{3}$$

Convert decimal number 7.5 to fraction \frac{75}{10}. Reduce the fraction \frac{75}{10} to lowest terms by extracting and canceling out 5.

$$x=\frac{15}{2}\times \frac{4}{3}$$

Multiply \frac{15}{2} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{15\times 4}{2\times 3}$$

Do the multiplications in the fraction \frac{15\times 4}{2\times 3}.

$$x=\frac{60}{6}$$

Divide 60 by 6 to get 10.

$$x=10$$